{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "<small>\n",
    "Copyright (c) 2017 Andrew Glassner\n",
    "\n",
    "Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the \"Software\"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions:\n",
    "\n",
    "The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software.\n",
    "\n",
    "THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.\n",
    "</small>\n",
    "\n",
    "\n",
    "\n",
    "# Deep Learning From Basics to Practice\n",
    "## by Andrew Glassner, https://dlbasics.com, http://glassner.com\n",
    "------\n",
    "## Chapter 7: Classification\n",
    "### Miscellaneous images\n",
    "\n",
    "This notebook is provided as a “behind-the-scenes” look at code used to make some of the figures in this chapter. It is still in the hacked-together form used to develop the figures, and is only lightly commented."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note: As of Python 3.5, some of these plots may \n",
    "produce a \"MaskedArrayFutureWarning\" from Numpy.\n",
    "For our purposes, these can be ignored."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "\n",
    "import matplotlib\n",
    "import numpy as np\n",
    "import math\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn.datasets.samples_generator import make_blobs\n",
    "from sklearn.cluster import KMeans\n",
    "from sklearn.multiclass import OneVsRestClassifier, OneVsOneClassifier\n",
    "from sklearn.svm import LinearSVC, SVC\n",
    "from matplotlib.colors import LinearSegmentedColormap\n",
    "\n",
    "import seaborn as sns ; sns.set()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "matplotlib.rcParams['axes.titlesize'] = 14\n",
    "matplotlib.rcParams['axes.labelsize'] = 14\n",
    "matplotlib.rcParams['axes.labelpad'] = 8\n",
    "matplotlib.rcParams['xtick.labelsize'] = 14\n",
    "matplotlib.rcParams['ytick.labelsize'] = 14"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Library/Frameworks/Python.framework/Versions/3.5/lib/python3.5/site-packages/h5py/__init__.py:34: FutureWarning: Conversion of the second argument of issubdtype from `float` to `np.floating` is deprecated. In future, it will be treated as `np.float64 == np.dtype(float).type`.\n",
      "  from ._conv import register_converters as _register_converters\n",
      "Using TensorFlow backend.\n"
     ]
    }
   ],
   "source": [
    "# Make a File_Helper for saving and loading files.\n",
    "\n",
    "save_files = True\n",
    "\n",
    "import os, sys, inspect\n",
    "current_dir = os.path.dirname(os.path.abspath(inspect.getfile(inspect.currentframe())))\n",
    "sys.path.insert(0, os.path.dirname(current_dir)) # path to parent dir\n",
    "from DLBasics_Utilities import File_Helper\n",
    "file_helper = File_Helper(save_files)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def show_scatter(training_points, title, filename):\n",
    "    plt.figure(figsize=(6,6))\n",
    "    plt.scatter(training_points[:,0], training_points[:,1], s=dot_size)\n",
    "    plt.title(title)\n",
    "    plt.xticks([], [])\n",
    "    plt.yticks([], [])\n",
    "    file_helper.save_figure(filename)\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def show_clusters(training_points, filename):\n",
    "    h = .02  # step size in the mesh\n",
    "    # create a mesh to plot in\n",
    "    x_min, x_max = training_points[:, 0].min() - 1, training_points[:, 0].max() + 1\n",
    "    y_min, y_max = training_points[:, 1].min() - 1, training_points[:, 1].max() + 1\n",
    "    xx, yy = np.meshgrid(np.arange(x_min, x_max, h),\n",
    "                         np.arange(y_min, y_max, h))\n",
    "\n",
    "    plt.figure(figsize=(9,6))\n",
    "    for cluster_count in range(2, 8):\n",
    "        num_clusters = cluster_count\n",
    "        kMeans = KMeans(n_clusters=num_clusters)\n",
    "        kMeans.fit(training_points)\n",
    "        predictions = kMeans.predict(training_points)\n",
    "        plt.subplot(2, 3, cluster_count-1)\n",
    "        plt.xticks([], [])\n",
    "        plt.yticks([], [])\n",
    "        Z = kMeans.predict(np.c_[xx.ravel(), yy.ravel()])\n",
    "        Z = Z.reshape(xx.shape)\n",
    "        plt.contourf(xx, yy, Z, cmap='rainbow', alpha=0.3)\n",
    "        plt.scatter(training_points[:,0], training_points[:,1], s=dot_size/3, c=predictions, cmap='rainbow')    \n",
    "        plt.title('k='+str(cluster_count))\n",
    "    file_helper.save_figure(filename)\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def make_blob_in_box(xmin, xmax, ymin, ymax, num_pts):\n",
    "    bxy, bc = make_blobs(n_samples=num_pts, centers=[(0, 0)], n_features=2)\n",
    "    sx_min = np.min(bxy[:,0])\n",
    "    sx_max = np.max(bxy[:,0])\n",
    "    sy_min = np.min(bxy[:,1])\n",
    "    sy_max = np.max(bxy[:,1])\n",
    "    normx = [(v[0]-sx_min)/(sx_max-sx_min) for v in bxy]\n",
    "    normy = [(v[1]-sy_min)/(sy_max-sy_min) for v in bxy]\n",
    "    sclx = [xmin + ((xmax-xmin) * v) for v in normx]\n",
    "    scly = [ymin + ((ymax-ymin) * v) for v in normy]\n",
    "    blobxy = [[sclx[i],scly[i]] for i in range(len(sclx))]\n",
    "    return blobxy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# make datasets\n",
    "np.random.seed(42)\n",
    "num_pts = 200\n",
    "dot_size = 60\n",
    "training_points_1 = np.random.uniform(-5, 5, size=(num_pts, 2))\n",
    "\n",
    "num_pts = 50\n",
    "bxy1 = make_blob_in_box(-4, -1, -4, 0, num_pts)\n",
    "bxy2 = make_blob_in_box(-4,  0,  2,  4, num_pts)\n",
    "bxy3 = make_blob_in_box(0, 1.5, -1.5,  0, num_pts)\n",
    "bxy4 = make_blob_in_box(2.5, 4, 0, 3, num_pts)\n",
    "bxy5 = make_blob_in_box(2.5, 4, -4, -3, num_pts)\n",
    "training_points_2 = np.vstack( [ bxy1, bxy2, bxy3, bxy4, bxy5 ] )\n",
    "training_points_2_y = [0]*num_pts + [1]*num_pts + [2]*num_pts + [3]*num_pts + [4]*num_pts\n",
    "\n",
    "cxy1 = make_blob_in_box(-4, -0.5, -4, -0.5, num_pts)\n",
    "cxy2 = make_blob_in_box(0.5, 4, -4, -1, num_pts)\n",
    "cxy3 = make_blob_in_box(-1.5, 1.5, .5, 1.5, num_pts)\n",
    "cxy4 = make_blob_in_box(-3.5, 3.5, 2, 4, num_pts)\n",
    "training_points_3 = np.vstack( [ cxy1, cxy2, cxy3, cxy4 ] )\n",
    "training_points_3_y = [0]*num_pts + [1]*num_pts + [2]*num_pts + [3]*num_pts "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeQAAAHkCAYAAADvrlz5AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11dafd828>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Library/Frameworks/Python.framework/Versions/3.5/lib/python3.5/site-packages/numpy/ma/core.py:6434: MaskedArrayFutureWarning: In the future the default for ma.minimum.reduce will be axis=0, not the current None, to match np.minimum.reduce. Explicitly pass 0 or None to silence this warning.\n",
      "  return self.reduce(a)\n",
      "/Library/Frameworks/Python.framework/Versions/3.5/lib/python3.5/site-packages/numpy/ma/core.py:6434: MaskedArrayFutureWarning: In the future the default for ma.maximum.reduce will be axis=0, not the current None, to match np.maximum.reduce. Explicitly pass 0 or None to silence this warning.\n",
      "  return self.reduce(a)\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAs0AAAH5CAYAAAB6TAOnAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nrkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11dafd860>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "show_scatter(training_points_2, '', 'starting-data-2')\n",
    "show_clusters(training_points_2, 'clusters-2')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def show_cluster_growth(points, points_y, filename):\n",
    "    \n",
    "    h = .02  # step size in the mesh\n",
    "    # create a mesh to plot in\n",
    "    x_min, x_max = points[:, 0].min() - 1, points[:, 0].max() + 1\n",
    "    y_min, y_max = points[:, 1].min() - 1, points[:, 1].max() + 1\n",
    "    xx, yy = np.meshgrid(np.arange(x_min, x_max, h),\n",
    "                         np.arange(y_min, y_max, h))\n",
    "    num_clusters = 5\n",
    "    kMeans = KMeans(n_clusters=num_clusters)\n",
    "    kMeans.fit(points)\n",
    "    predictions = kMeans.predict(points)\n",
    "    Z = kMeans.predict(np.c_[xx.ravel(), yy.ravel()])\n",
    "    Z = Z.reshape(xx.shape)\n",
    "    \n",
    "    \n",
    "    plt.figure(figsize=(10,3))\n",
    "    plt.subplot(1, 3, 1)\n",
    "    plt.scatter(points[:,0], points[:,1], c=predictions, cmap='rainbow')\n",
    "    plt.xticks([], [])\n",
    "    plt.yticks([], [])\n",
    "    \n",
    "    plt.subplot(1, 3, 2)\n",
    "    plt.scatter(points[:,0], points[:,1], c=predictions, cmap='rainbow')\n",
    "    plt.xticks([], [])\n",
    "    plt.yticks([], [])\n",
    "    \n",
    "    plt.subplot(1, 3, 3)\n",
    "    plt.scatter(points[:,0], points[:,1], c=predictions, cmap='rainbow')\n",
    "\n",
    "\n",
    "    \n",
    "    plt.contourf(xx, yy, Z, cmap='rainbow', alpha=0.3)\n",
    "    plt.scatter(points[:,0], points[:,1], s=dot_size/3, c=predictions, cmap='rainbow') \n",
    "    plt.xticks([], [])\n",
    "    plt.yticks([], [])   \n",
    "        \n",
    "    file_helper.save_figure(filename)\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Library/Frameworks/Python.framework/Versions/3.5/lib/python3.5/site-packages/numpy/ma/core.py:6434: MaskedArrayFutureWarning: In the future the default for ma.minimum.reduce will be axis=0, not the current None, to match np.minimum.reduce. Explicitly pass 0 or None to silence this warning.\n",
      "  return self.reduce(a)\n",
      "/Library/Frameworks/Python.framework/Versions/3.5/lib/python3.5/site-packages/numpy/ma/core.py:6434: MaskedArrayFutureWarning: In the future the default for ma.maximum.reduce will be axis=0, not the current None, to match np.maximum.reduce. Explicitly pass 0 or None to silence this warning.\n",
      "  return self.reduce(a)\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAxsAAAD8CAYAAAAfd7luAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nL6LLAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x120e6e9b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "show_cluster_growth(training_points_2, training_points_2_y, 'show-cluster-growth')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "\n",
    "def draw_setup_one_versus_rest(training_points, training_points_y):\n",
    "    classifier = OneVsRestClassifier(SVC(probability=True, random_state=42))\n",
    "    classifier.fit(training_points, training_points_y)\n",
    "\n",
    "    h = .02  # step size in the mesh\n",
    "    # create a mesh to plot in\n",
    "    x_min, x_max = training_points[:, 0].min() - 1, training_points[:, 0].max() + 1\n",
    "    y_min, y_max = training_points[:, 1].min() - 1, training_points[:, 1].max() + 1\n",
    "    xx, yy = np.meshgrid(np.arange(x_min, x_max, h),\n",
    "                         np.arange(y_min, y_max, h))\n",
    "\n",
    "    predictions = classifier.predict_proba(np.c_[xx.ravel(), yy.ravel()])\n",
    "\n",
    "    plt.figure(figsize=(9,4))\n",
    "    plt.subplot(2, 5, 3)\n",
    "    plt.scatter(training_points[:,0], training_points[:,1], s=dot_size/3, c=training_points_y, cmap='rainbow') \n",
    "    plt.xticks([], [])\n",
    "    plt.yticks([], [])   \n",
    "\n",
    "    for i in range(5):\n",
    "        plt.subplot(2, 5, 6+i)\n",
    "        #this_Z = [i if z==i else 9 for z in flat_Z]\n",
    "        Z = predictions[:,i]\n",
    "        this_Z = Z.reshape(xx.shape)\n",
    "        this_Z = np.reshape(this_Z, xx.shape)\n",
    "        plt.contourf(xx, yy, this_Z, cmap='rainbow', alpha=0.3)\n",
    "        plt.scatter(training_points[:,0], training_points[:,1], s=dot_size/3, c=training_points_y, cmap='rainbow') \n",
    "        plt.xticks([], [])\n",
    "        plt.yticks([], [])   \n",
    "        plt.title('class '+('ABCDE'[i]))\n",
    "\n",
    "\n",
    "    #plt.subplot(3, 5, 13)\n",
    "    #plt.contourf(xx, yy, Z, cmap='rainbow', alpha=0.3)\n",
    "    #plt.scatter(training_points[:,0], training_points[:,1], s=dot_size/3, c=training_points_y, cmap='rainbow')    \n",
    "    #plt.xticks([], [])\n",
    "    #plt.yticks([], [])\n",
    "\n",
    "    plt.tight_layout()\n",
    "    file_helper.save_figure('one-versus-rest-classification-setup')\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Library/Frameworks/Python.framework/Versions/3.5/lib/python3.5/site-packages/numpy/ma/core.py:6434: MaskedArrayFutureWarning: In the future the default for ma.minimum.reduce will be axis=0, not the current None, to match np.minimum.reduce. Explicitly pass 0 or None to silence this warning.\n",
      "  return self.reduce(a)\n",
      "/Library/Frameworks/Python.framework/Versions/3.5/lib/python3.5/site-packages/numpy/ma/core.py:6434: MaskedArrayFutureWarning: In the future the default for ma.maximum.reduce will be axis=0, not the current None, to match np.maximum.reduce. Explicitly pass 0 or None to silence this warning.\n",
      "  return self.reduce(a)\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA3MAAAGACAYAAAAH0DvkAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x105be6b00>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "draw_setup_one_versus_rest(training_points_2, training_points_2_y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def classify_point_ovr(point, training_points, training_points_y):\n",
    "    classifier = OneVsRestClassifier(SVC(probability=True, random_state=42))\n",
    "    classifier.fit(training_points, training_points_y)\n",
    "\n",
    "    h = .02  # step size in the mesh\n",
    "    # create a mesh to plot in\n",
    "    x_min, x_max = training_points[:, 0].min() - 1, training_points[:, 0].max() + 1\n",
    "    y_min, y_max = training_points[:, 1].min() - 1, training_points[:, 1].max() + 1\n",
    "    xx, yy = np.meshgrid(np.arange(x_min, x_max, h),\n",
    "                         np.arange(y_min, y_max, h))\n",
    "\n",
    "    predictions = classifier.predict_proba(np.c_[xx.ravel(), yy.ravel()])\n",
    "    \n",
    "    plt.figure(figsize=(10,6)) \n",
    "\n",
    "    for i in range(5):\n",
    "        plt.subplot(3, 5, 6+i)\n",
    "        #this_Z = [i if z==i else 9 for z in flat_Z]\n",
    "        this_Z = predictions[:,i]\n",
    "        this_Z = np.reshape(this_Z, xx.shape)\n",
    "        plt.contourf(xx, yy, this_Z, cmap='rainbow', alpha=0.3)\n",
    "        plt.scatter([point[0]],[point[1]], s=dot_size, c='black')\n",
    "        plt.xticks([], [])\n",
    "        plt.yticks([], [])   \n",
    "        plt.title('class '+('ABCDE'[i]))\n",
    "\n",
    "    file_helper.save_figure('one-versus-rest-point-classification')\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Library/Frameworks/Python.framework/Versions/3.5/lib/python3.5/site-packages/numpy/ma/core.py:6434: MaskedArrayFutureWarning: In the future the default for ma.minimum.reduce will be axis=0, not the current None, to match np.minimum.reduce. Explicitly pass 0 or None to silence this warning.\n",
      "  return self.reduce(a)\n",
      "/Library/Frameworks/Python.framework/Versions/3.5/lib/python3.5/site-packages/numpy/ma/core.py:6434: MaskedArrayFutureWarning: In the future the default for ma.maximum.reduce will be axis=0, not the current None, to match np.maximum.reduce. Explicitly pass 0 or None to silence this warning.\n",
      "  return self.reduce(a)\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAxsAAACxCAYAAACssaDcAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x104ae7ba8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "classify_point_ovr([3, -2], training_points_2, training_points_2_y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def show_set_3():\n",
    "    plt.figure(figsize=(4,4))\n",
    "    clr0 = '#0A6382'\n",
    "    clr1 = '#5AB2AD'\n",
    "    clr2 = '#F0B687'\n",
    "    clr3 = '#D4766D'\n",
    "    mymap = LinearSegmentedColormap.from_list(\"map0123\", (clr0, clr1, clr2, clr3), N=4)\n",
    "    plt.scatter(training_points_3[:,0], training_points_3[:,1], c=training_points_3_y, s=dot_size, cmap=mymap)\n",
    "    #plt.title('Starting data 3')\n",
    "    plt.xticks([], [])\n",
    "    plt.yticks([], [])\n",
    "    file_helper.save_figure('starting-data-3')\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAUoAAAFKCAYAAAB7KRYFAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11e85cb00>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "show_set_3()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def draw_setup_one_versus_one(training_points, training_points_y, filename, point=None):\n",
    "    set0 = [training_points_3[i] for i in \n",
    "            range(len(training_points_3)) if training_points_3_y[i] == 0]\n",
    "    set1 = [training_points_3[i] for i in \n",
    "            range(len(training_points_3)) if training_points_3_y[i] == 1]\n",
    "    set2 = [training_points_3[i] for i in \n",
    "            range(len(training_points_3)) if training_points_3_y[i] == 2]\n",
    "    set3 = [training_points_3[i] for i in \n",
    "            range(len(training_points_3)) if training_points_3_y[i] == 3]\n",
    "    \n",
    "    set01 = set0+set1;\n",
    "    set01_y = ([0]*len(set0))+([1]*len(set1))\n",
    "    classifier01 = OneVsOneClassifier(LinearSVC(random_state=42))\n",
    "    classifier01.fit(set01, set01_y)\n",
    "    \n",
    "    set02 = set0+set2;\n",
    "    set02_y = ([0]*len(set0))+([1]*len(set2))\n",
    "    classifier02 = OneVsOneClassifier(LinearSVC(random_state=42))\n",
    "    classifier02.fit(set02, set02_y)\n",
    "    \n",
    "    set03 = set0+set3;\n",
    "    set03_y = ([0]*len(set0))+([1]*len(set3))\n",
    "    classifier03 = OneVsOneClassifier(LinearSVC(random_state=42))\n",
    "    classifier03.fit(set03, set03_y)\n",
    "    \n",
    "    set12 = set1+set2;\n",
    "    set12_y = ([0]*len(set1))+([1]*len(set2))\n",
    "    classifier12 = OneVsOneClassifier(LinearSVC(random_state=42))\n",
    "    classifier12.fit(set12, set12_y)\n",
    "    \n",
    "    set13 = set1+set3;\n",
    "    set13_y = ([0]*len(set1))+([1]*len(set3))\n",
    "    classifier13 = OneVsOneClassifier(LinearSVC(random_state=42))\n",
    "    classifier13.fit(set13, set13_y)\n",
    "    \n",
    "    set23 = set2+set3;\n",
    "    set23_y = ([0]*len(set2))+([1]*len(set3))\n",
    "    classifier23 = OneVsOneClassifier(LinearSVC(random_state=42))\n",
    "    classifier23.fit(set23, set23_y)\n",
    "        \n",
    "    h = .02  # step size in the mesh\n",
    "    # create a mesh to plot in\n",
    "    x_min, x_max = training_points[:, 0].min() - 1, training_points[:, 0].max() + 1\n",
    "    y_min, y_max = training_points[:, 1].min() - 1, training_points[:, 1].max() + 1\n",
    "    xx, yy = np.meshgrid(np.arange(x_min, x_max, h),\n",
    "                         np.arange(y_min, y_max, h))\n",
    "\n",
    "    plt.figure(figsize=(6,6))    \n",
    "    clr0 = '#0A6382'\n",
    "    clr1 = '#5AB2AD'\n",
    "    clr2 = '#F0B687'\n",
    "    clr3 = '#D4766D'\n",
    "    \n",
    "    bg0 = '#3D7082'\n",
    "    bg1 = '#89B2B0'\n",
    "    bg2 = '#F0D7C2'\n",
    "    bg3 = '#D49E98'\n",
    "    \n",
    "    plt.subplot(3, 3, 1)\n",
    "    flat_Z = classifier01.predict(np.c_[xx.ravel(), yy.ravel()])\n",
    "    Z = flat_Z.reshape(xx.shape)\n",
    "    this_Z = [0 if z==0 else 9 for z in flat_Z]\n",
    "    this_Z = np.reshape(this_Z, xx.shape)\n",
    "    cmap01 = LinearSegmentedColormap.from_list(\"map01\", (bg0, bg1), N=2)\n",
    "    plt.contourf(xx, yy, this_Z, cmap=cmap01, alpha=0.3)\n",
    "    all_pts01 = np.array(set0 + set1)\n",
    "    all_clrs01 = ([clr0]*len(set0))+([clr1]*len(set1))\n",
    "    plt.xticks([], [])\n",
    "    plt.yticks([], [])  \n",
    "    if point:\n",
    "        plt.scatter([point[0]], [point[1]], s=dot_size, c=[clr0, clr1])\n",
    "    else:\n",
    "        plt.scatter(all_pts01[:,0], all_pts01[:,1], s=dot_size/3, c=all_clrs01)\n",
    "    plt.title('Class B')\n",
    "    \n",
    "    plt.subplot(3, 3, 2)\n",
    "    flat_Z = classifier02.predict(np.c_[xx.ravel(), yy.ravel()])\n",
    "    Z = flat_Z.reshape(xx.shape)\n",
    "    this_Z = [0 if z==0 else 9 for z in flat_Z]\n",
    "    this_Z = np.reshape(this_Z, xx.shape)\n",
    "    cmap02 = LinearSegmentedColormap.from_list(\"map02\", (bg0, bg2), N=2)\n",
    "    plt.contourf(xx, yy, this_Z, cmap=cmap02, alpha=0.3)\n",
    "    all_pts02 = np.array(set0 + set2)\n",
    "    all_clrs02 = ([clr0]*len(set0))+([clr2]*len(set2))\n",
    "    plt.xticks([], [])\n",
    "    plt.yticks([], [])   \n",
    "    if point:\n",
    "        plt.scatter([point[0]], [point[1]], s=dot_size, c='black')\n",
    "    else:\n",
    "        plt.scatter(all_pts02[:,0], all_pts02[:,1], s=dot_size/3, c=all_clrs02)\n",
    "    plt.title('Class C')\n",
    "    \n",
    "    plt.subplot(3, 3, 3)\n",
    "    flat_Z = classifier03.predict(np.c_[xx.ravel(), yy.ravel()])\n",
    "    Z = flat_Z.reshape(xx.shape)\n",
    "    this_Z = [0 if z==0 else 9 for z in flat_Z]\n",
    "    this_Z = np.reshape(this_Z, xx.shape)\n",
    "    cmap03 = LinearSegmentedColormap.from_list(\"map03\", (bg0, bg3), N=2)\n",
    "    plt.contourf(xx, yy, this_Z, cmap=cmap03, alpha=0.3)\n",
    "    all_pts03 = np.array(set0 + set3)\n",
    "    all_clrs03 = ([clr0]*len(set0))+([clr3]*len(set3))\n",
    "    plt.xticks([], [])\n",
    "    plt.yticks([], [])   \n",
    "    if point:\n",
    "        plt.scatter([point[0]], [point[1]], s=dot_size, c='black')\n",
    "    else:\n",
    "        plt.scatter(all_pts03[:,0], all_pts03[:,1], s=dot_size/3, c=all_clrs03)\n",
    "    plt.title('Class D')\n",
    "    ax = plt.gca()\n",
    "    ax.yaxis.set_label_position(\"right\")\n",
    "    plt.ylabel(\"Class A\")\n",
    "    \n",
    "    plt.subplot(3, 3, 5)\n",
    "    flat_Z = classifier12.predict(np.c_[xx.ravel(), yy.ravel()])\n",
    "    Z = flat_Z.reshape(xx.shape)\n",
    "    this_Z = [0 if z==0 else 9 for z in flat_Z]\n",
    "    this_Z = np.reshape(this_Z, xx.shape)\n",
    "    cmap12 = LinearSegmentedColormap.from_list(\"map12\", (bg1, bg2), N=2)\n",
    "    plt.contourf(xx, yy, this_Z, cmap=cmap12, alpha=0.3)\n",
    "    all_pts12 = np.array(set1 + set2)\n",
    "    all_clrs12 = ([clr1]*len(set1))+([clr2]*len(set2))\n",
    "    plt.xticks([], [])\n",
    "    plt.yticks([], [])   \n",
    "    if point:\n",
    "        plt.scatter([point[0]], [point[1]], s=dot_size, c='black')\n",
    "    else:\n",
    "        plt.scatter(all_pts12[:,0], all_pts12[:,1], s=dot_size/3, c=all_clrs12)\n",
    "    \n",
    "    plt.subplot(3, 3, 6)\n",
    "    flat_Z = classifier13.predict(np.c_[xx.ravel(), yy.ravel()])\n",
    "    Z = flat_Z.reshape(xx.shape)\n",
    "    this_Z = [0 if z==0 else 9 for z in flat_Z]\n",
    "    this_Z = np.reshape(this_Z, xx.shape)\n",
    "    cmap13 = LinearSegmentedColormap.from_list(\"map13\", (bg1, bg3), N=2)\n",
    "    plt.contourf(xx, yy, this_Z, cmap=cmap13, alpha=0.3)\n",
    "    all_pts13 = np.array(set1 + set3)\n",
    "    all_clrs13 = ([clr1]*len(set1))+([clr3]*len(set3))\n",
    "    plt.xticks([], [])\n",
    "    plt.yticks([], [])   \n",
    "    if point:\n",
    "        plt.scatter([point[0]], [point[1]], s=dot_size, c='black')\n",
    "    else:\n",
    "        plt.scatter(all_pts13[:,0], all_pts13[:,1], s=dot_size/3, c=all_clrs13)\n",
    "    ax = plt.gca()\n",
    "    ax.yaxis.set_label_position(\"right\")\n",
    "    plt.ylabel(\"Class B\")\n",
    "    \n",
    "    plt.subplot(3, 3, 9)\n",
    "    flat_Z = classifier23.predict(np.c_[xx.ravel(), yy.ravel()])\n",
    "    Z = flat_Z.reshape(xx.shape)\n",
    "    this_Z = [0 if z==0 else 9 for z in flat_Z]\n",
    "    this_Z = np.reshape(this_Z, xx.shape)\n",
    "    cmap23 = LinearSegmentedColormap.from_list(\"map01\", (bg2, bg3), N=2)\n",
    "    plt.contourf(xx, yy, this_Z, cmap=cmap23, alpha=0.3)\n",
    "    all_pts23 = np.array(set2 + set3)\n",
    "    all_clrs23 = ([clr2]*len(set2))+([clr3]*len(set3))\n",
    "    plt.xticks([], [])\n",
    "    plt.yticks([], [])   \n",
    "    if point:\n",
    "        plt.scatter([point[0]], [point[1]], s=dot_size, c='black')\n",
    "    else:\n",
    "        plt.scatter(all_pts23[:,0], all_pts23[:,1], s=dot_size/3, c=all_clrs23)\n",
    "    ax = plt.gca()\n",
    "    ax.yaxis.set_label_position(\"right\")\n",
    "    plt.ylabel(\"Class C\")\n",
    "    \n",
    "    plt.tight_layout()\n",
    "    file_helper.save_figure(filename)\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Library/Frameworks/Python.framework/Versions/3.5/lib/python3.5/site-packages/numpy/ma/core.py:6434: MaskedArrayFutureWarning: In the future the default for ma.minimum.reduce will be axis=0, not the current None, to match np.minimum.reduce. Explicitly pass 0 or None to silence this warning.\n",
      "  return self.reduce(a)\n",
      "/Library/Frameworks/Python.framework/Versions/3.5/lib/python3.5/site-packages/numpy/ma/core.py:6434: MaskedArrayFutureWarning: In the future the default for ma.maximum.reduce will be axis=0, not the current None, to match np.maximum.reduce. Explicitly pass 0 or None to silence this warning.\n",
      "  return self.reduce(a)\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAkYAAAJGCAYAAAC+3UpsAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nTfC+fhj4BQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x120b78ef0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "draw_setup_one_versus_one(training_points_3, training_points_3_y, 'one-versus-one-classification-setup')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Library/Frameworks/Python.framework/Versions/3.5/lib/python3.5/site-packages/numpy/ma/core.py:6434: MaskedArrayFutureWarning: In the future the default for ma.minimum.reduce will be axis=0, not the current None, to match np.minimum.reduce. Explicitly pass 0 or None to silence this warning.\n",
      "  return self.reduce(a)\n",
      "/Library/Frameworks/Python.framework/Versions/3.5/lib/python3.5/site-packages/numpy/ma/core.py:6434: MaskedArrayFutureWarning: In the future the default for ma.maximum.reduce will be axis=0, not the current None, to match np.maximum.reduce. Explicitly pass 0 or None to silence this warning.\n",
      "  return self.reduce(a)\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAkYAAAJGCAYAAAC+3UpsAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAEQYAQBEGAEARBgBAOQCZITSkaDdnzYAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x111802a58>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "draw_setup_one_versus_one(training_points_3, training_points_3_y, \n",
    "                          'one-versus-one-classification-action', point=[-3.85,-0.2])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def plot_binary_classifiers_needed():\n",
    "    xs = range(3, 100)\n",
    "    ys = [math.factorial(n)/(2*math.factorial(n-2)) for n in xs]\n",
    "    plt.figure(figsize=(6,4))\n",
    "    plt.plot(xs, ys, lw=2)\n",
    "    plt.ylim(-40, 40+max(ys))\n",
    "    plt.yticks([0,1000,2000,3000,4000,5000],[0,1000,2000,3000,4000,5000])\n",
    "    plt.title(\"Number of Binary Classifiers Needed by Number of Classes\")\n",
    "    plt.xlabel(\"Number of Classes\")\n",
    "    plt.ylabel(\"Number of Binary Classifiers\")\n",
    "    file_helper.save_figure('num-binary-classifiers')\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAlEAAAGXCAYAAACTJQXqAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ncReY6TZOVgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x120e37d30>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_binary_classifiers_needed()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def avg_distance(num_dimensions, num_trials):\n",
    "    distances = []\n",
    "    for i in range(num_trials):\n",
    "        p0 = np.random.uniform(0, 1, num_dimensions)\n",
    "        p1 = np.random.uniform(0, 1, num_dimensions)\n",
    "        dd = [(p0[i]-p1[i])**2 for i in range(len(p0))]\n",
    "        distances.append(math.sqrt(sum(dd)))\n",
    "    return sum(distances)/len(distances)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def plot_distance_by_dimension():\n",
    "    v = [avg_distance(dim, 1000) for dim in range(1,50)]\n",
    "    fig = plt.figure(figsize=(8,6))\n",
    "    x = np.arange(1,50)\n",
    "    plt.scatter(x, v, s=50)\n",
    "    plt.xlim(0, 50)\n",
    "    plt.xlabel(\"Number of dimensions\")\n",
    "    plt.ylabel(\"Average Distance\")\n",
    "    plt.title(\"Average point distance by dimension\")\n",
    "    file_helper.save_figure('dim-distances')\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAswAAAIyCAYAAADfSZxzAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nmAEAAAAb/j/DfXg30IHlawAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11db33b00>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_distance_by_dimension()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def get_density(num_dimensions, intervals_per_axis):\n",
    "    number_of_bins = intervals_per_axis ** num_dimensions\n",
    "    density = 10 / number_of_bins\n",
    "    return density"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def plot_density_by_dimension():\n",
    "    fig = plt.figure(figsize=(8,6))\n",
    "    for intervals_per_axis in [2, 3, 4, 5, 6, 10, 20, 100]:\n",
    "        d = [get_density(dim, intervals_per_axis) for dim in range(1,10)]\n",
    "        x = np.arange(1,10)\n",
    "        plt.plot(x, d, label=str(intervals_per_axis), linewidth=2)\n",
    "    #plt.ylim(0, .6)\n",
    "    plt.legend(loc='upper right')\n",
    "    plt.xlabel(\"Number of dimensions\")\n",
    "    plt.ylabel(\"Density\")\n",
    "    plt.title(\"Density of points by dimension and intervals per axis\")\n",
    "    file_helper.save_figure('dim-density')\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAArcAAAIyCAYAAADR4OIcAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11e7f9668>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_density_by_dimension()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def get_num_points(desired_density, num_slots, num_dimensions):\n",
    "    return desired_density * (num_slots ** num_dimensions)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def points_per_devision(num_dims, slots):\n",
    "    desired_density = 0.25\n",
    "    for desired_density in [.1, .3, .5, .7, .9]:\n",
    "        d = [get_num_points(desired_density, slots, dim) for dim in range(1,num_dims+1)]\n",
    "        x = np.arange(1,num_dims+1)\n",
    "        plt.plot(x, d, label=str(desired_density), linewidth=2)\n",
    "    plt.legend(loc='upper left')\n",
    "    plt.xlabel(\"Number of dimensions\")\n",
    "    plt.ylabel(\"Points needed\")\n",
    "    plt.xticks(range(1, num_dims+1), range(1, num_dims+1))\n",
    "    #plt.title('Points needed by dimension for given density using '+str(slots)+' dvisions per axis')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAw4AAAFDCAYAAACTG1nWAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11e8a6400>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(8, 3))\n",
    "slots = 5\n",
    "plt.subplot(1, 2, 1)\n",
    "points_per_devision(5, slots)\n",
    "plt.yticks(fontsize=12)\n",
    "plt.subplot(1, 2, 2)\n",
    "points_per_devision(10, slots)\n",
    "plt.yticks(fontsize=12)\n",
    "plt.tight_layout()\n",
    "plt.suptitle('Points needed by dimension for given density using '+str(slots)+' dvisions per axis', y=1.08)\n",
    "file_helper.save_figure('points-needed-'+str(slots)+'-slots')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from scipy.special import gamma\n",
    "def hypersphere_volume(dimensions):\n",
    "    num = (0.5 ** dimensions) * (math.pi ** (dimensions/2))\n",
    "    den = gamma(1 + (dimensions/2))\n",
    "    return num/den"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def plot_hypersphere_volume():\n",
    "    fig = plt.figure(figsize=(8,6))\n",
    "    d = np.linspace(1, 11, 10)\n",
    "    y = [hypersphere_volume(dim) for dim in d]\n",
    "    plt.scatter(d,y, s=90)\n",
    "    #plt.plot(d,y, linewidth=2)\n",
    "    plt.xlabel('Number of dimensions')\n",
    "    plt.ylabel('Volume of hypersphere')\n",
    "    plt.xlim(0.5, 11.5)\n",
    "    plt.xticks(np.arange(1,11))\n",
    "    file_helper.save_figure('hypersphere-volume')\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAs0AAAImCAYAAACozLfAAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1059a28d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_hypersphere_volume()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def plot_inner_sphere_radius_by_dimension():\n",
    "    num_dims = 20\n",
    "    v = [math.sqrt(dim)-1 for dim in range(2,num_dims)]\n",
    "    fig = plt.figure(figsize=(8,6))\n",
    "    x = np.arange(2,num_dims)\n",
    "    plt.scatter(x, v, s=50)\n",
    "    plt.xlim(1, num_dims)\n",
    "    plt.xticks(fontsize=14)\n",
    "    plt.yticks(fontsize=14)\n",
    "    plt.xlabel(\"Number of dimensions\", fontsize=14)\n",
    "    plt.ylabel(\"Radius of hyperorange\", fontsize=14)\n",
    "    plt.title(\"Radius of hyperorange by dimension\", fontsize=14)\n",
    "    file_helper.save_figure('inner-sphere-radius')\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAswAAAIyCAYAAADfSZxzAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ndwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x120c3af28>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_inner_sphere_radius_by_dimension()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
